Instagram is notoriously bad at being able to provide a high-quality wide range of analytical tools to their users - that is just a known fact.
My take-away from this question was that you just (basically) do not wish to employ the top-level 'Influencers' to your Instgram presence, but instead would like to things in a mid-level range.
Now, if this is correct, there are very few options for having such a specific set of standards on a site with such little growth in that market - but you are definitely not completely without options. I will try to keep it short but detailed, but from what I understand:
- There are a couple main websites through which a large portion of Instagram users obtain influencers. Of course there are far fewer users who are aiming at that slightly lower area (for whatever reason) and it has caused a delay in such tools. However, Instagram is actually on more of a leading-edge than they have been in the past several years, and I believe it is becoming easier and easier to make a more targeted choice of what you want and how you want it.
I actually gave this quite a bit of thought and subsequent research, and I actually only found one site\company who seems to be very open about the way by which they allow customers\clients to decide upon the type of services rendered.
The website - which I will list below in a link - has three main paayment plans (for Promoters) and a couple more for Business owners. If you havent decided on specifics yet, I highly recommend visiting them and signing up for a quick "Free" minimum-access account just to audit the quality of service.
Furthermore, if you actually browse through Google \ Bing \ Etc, with the approriate keywords, you might be surprised at what you find and may even come to an entirely different conclusion. I will post a list of relevant keywords below with the think to the site, so that if by chance you are unable to produce appropriate search terms you will have at least something to work with.
Im hoping that I understood your question correctly, but if for some reason I have left anything out or I have completely missed the ball, please feel free to provide some feedback and I would be more than happy to ascertain some additional information for you.
Link and Keywords Below:
Keywords: wildcard, advanced, search, sort, influencers, Instagram, analytics, business, mid, mid-level, sort, median, promotion, promoter.
^ For the keywords, Im going to just assume that if you happen to need to use any, you will be able to piece it all together.